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Katarina [22]
1 year ago
7

092:15 PMEach month, henry weeds gardens for 15 hours and mows lawns for x hours.For each job, he is paid $9 per hour. He wants

to earn at least $252 per month.Write an inequality to model this situation. Solve and interpret the solution.
Mathematics
1 answer:
ankoles [38]1 year ago
6 0

We know that he weeds gardens for 15 hours, and mows lawns for x hours.

If he wants to earn $252 per month, we can express the following

9\cdot15+9x\ge252

Now, we solve for x

\begin{gathered} 135+9x\ge252 \\ 9x\ge252-135 \\ 9x\ge117 \\ x\ge\frac{117}{9} \\ x\ge13 \end{gathered}<h2>Hence, he has to mow lawns for 13 hours to earn at least $252.</h2>
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dedylja [7]

Answer:

x = 84

Step-by-step explanation:

Sum of angles around a point = 360

Sum of given angles = 132+54+90 = 132+144 = 276

So, x must cover the angle remaining from 276 to form 360, which is

360-276 = 84degrees.

Hope this helps

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3 years ago
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Shtirlitz [24]
The interior angles of a triangle must add to 180 degrees.

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Then plug in the x value into each angle expression
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3 years ago
If tan x =1/2<br> find sin x<br> 2
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6 0
3 years ago
Identify the solution set of the inequality using the given replacement set x &lt; –2; {–5, –2.6, –2, –0.8, 1, 1.5}. A. {–5, –2.
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sleet_krkn [62]

The simplification of 25p^6q^9 / 45p^8q^4 using a positive exponent;

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  • Elevated form is  5/9 p^-2 q^5

<h3>What are algebraic expressions?</h3>

Algebraic expressions are expressions made up of factors, variables, terms, coefficients and constants.

They are also comprised of arithmetic operations such as addition, subtraction, multiplication, division, etc

We also know that index forms are also know as standard forms.

They are mathematical expressions showing the power of exponent of a variable in terms of another variable.

Given the index algebraic forms;

25p^6q^9 / 45p^8q^4

Using the rule of indices, we take the negative exponent of the divisor and multiply through.

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5p^6 q^9 × 9p^-8 q^-4

Add exponential values

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